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Finding the Fourth Proportional to 185,205.72, 277,847.46 and 60,537

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Solution

The fourth proportional to 185,205.72, 277,847.46 and 60,537 is: 90,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,205.72 : 277,847.46 = 60,537 : x
  2. Step 2: Convert to fraction form
    185,205.72/277,847.46 = 60,537/x
  3. Step 3: Cross multiply
    185,205.72x = 277,847.46 × 60,537
  4. Step 4: Simplify right side
    185,205.72x = 16,820,051,686.02
  5. Step 5: Solve for x
    x = 16,820,051,686.02/185,205.72
  6. Step 6: Final answer
    x = 90,818.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.